Question 4.9 A rock consists of six layers of different permeabilities. The geometry of the rock is given in the figure below. The permeability and dimensions of each layer are given in the table below. a) Find the average permeability of this rock for horizontal flow (k,). b) Find the average permeability of this rock for vertical flow (k). c) What is the k /k,? 1 2 4 6 Layer Permeability [mD] Thickness [in] Length [in] Width [in]

Question 4.9 A rock consists of six layers of different permeabilities. The geometry of the rock is given in the figure below. The permeability and dimensions of each layer are given in the table below. a) Find the average permeability of this rock for horizontal flow (k,). b) Find the average permeability of this rock for vertical flow (k). c) What is the k /k,? 1 2 4 6 Layer Permeability [mD] Thickness [in] Length [in] Width [in]

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter9: In Situ Stresses

Section: Chapter Questions

Problem 9.12P

See similar textbooks

Similar questions

18- Pressure applied equally on a rock: A. differential pressure B. directed pressure C. shear pressure D. confining pressure
Refer to Figure P3.3. Use Eqs. (3.10) and (3.11) to determine the variation of OCR and preconsolidation pressure c. FIGURE P3.3
A rock with 4% water absorption by weight has a dry weight of 656 g, a degree of saturation of 27%, Its weight in water is 415.45 g and its specific gravity is 2.72. This rock; a) Apparent and total porosity b) Natural and grain unit volume weight c) water content calculate.
What is the pore compressibility of a rock with a bulk volume of 22 cm3, porosity of 19% and pore volume decreases by 0.06 cm3 when subjected to a confining pressure of 670psi?
Determine the stress increase due to the embankment load at point A as shown in Figure 2. The unit weight of the embankment fill is 115pcf
A 8 m-thick layer of stiff saturated clay is underlain by a layer of snad (Figure Q3). The sand is under artesian pressure. (water pressure head in the sand layer is shown on the piezometer). Calculate the maximum depth of cut, H, that can be made in the clay.
If a rock has a permeability of 1 millidarcy, how much water will flow through it per unit of time and area under a gradient of unity? (the water temperature is 20 degree Celcius)
A reservoir-rock sample has a porosity of 0. 18 measured at 14.7 psis. The rock compressibility is0.77 X 10 5psi *.What would the rock porosity be at 2,000 and at 3,000 psis? Plot the relationship be tween ¢ and p in a pressure range of 14.7 to 5,000 psis
For studying rock porosity change affecting by the pressure, use Newman correlation to calculate the pore volume (isothermal) compressibility, cf, for sandstones as below (Eqn. 2.2 - which is attached). I have also attached my results for part a. I need help with part B. It is using the formula: c = -1/v * dV/dp where v = volume, c = compressibility values calculated in part a, and p is pressure. I am mostly confused on how to compute the change in volume. (a) Calculate cf for 5 different phi (porosity) = 0.02, 0.05, 0.1, 0.15, 0.2 I have already completed this portion and it is attached with the answers needed for part b highlighted in yellow in the uploaded figure. (b) Estimate dV/V for these five cases of phi (porosity), if initial reservoir is 3250 psia and the current reservoir pressure is 1500 psia.
2) A soil profile consisting of three layers is shown in the Figure. A) Calculate the values of σ, u and σ' at points A,B,C and D if Layer 1: H1=5m, e=0.7, Gs=2.69 Layer 2: H2=8m, e=0.55, Gs=2.7 Layer 3: H3=3m, w=38%, e=1.2 B) What is the change in effective stress at point C if: If the water table drops by 2m? If the water table rises to the surface up to point A? Water level rises 3 m above point A due to flooding?
The volume of the rock is found to be 0.00015 m^3. If the rock's specific gravity is 2.60, what is its weight in N?
A moist rock mass is characterized by the following parameters: joint water pressure is nil; the point load index 3 MPa; the joint spacing = 0.5 m; and = RQD 55%. Prepare a table of rock mass rating versus joint condition = using the terminology of Table 2.16 for the former and Table 2.13 for the latter. ( you can find the tables in goodman book about rock mechanics)